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A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate
Exact expressions of velocity, temperature and mass concentration have been calculated for free convective flow of fractional MHD viscous fluid over an oscillating plate. Expressions of velocity have been obtained both for sine and cosine oscillations of plate. Corresponding fractional differential...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer International Publishing
2015
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4628018/ https://www.ncbi.nlm.nih.gov/pubmed/26543774 http://dx.doi.org/10.1186/s40064-015-1426-4 |
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author | Shahid, N. |
author_facet | Shahid, N. |
author_sort | Shahid, N. |
collection | PubMed |
description | Exact expressions of velocity, temperature and mass concentration have been calculated for free convective flow of fractional MHD viscous fluid over an oscillating plate. Expressions of velocity have been obtained both for sine and cosine oscillations of plate. Corresponding fractional differential equations have been solved by using Laplace transform and inverse Laplace transform. The expression of temperature and mass concentration have been presented in the form of Fox-H function and in the form of general Wright function, respectively and velocity is presented in the form of integral solutions using Generalized function. Some limiting cases of fluid and fractional parameters have been discussed to retrieve some solutions present in literature. The influence of thermal radiation, mass diffusion and fractional parameters on fluid flow has been analyzed through graphical illustrations. |
format | Online Article Text |
id | pubmed-4628018 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-46280182015-11-05 A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate Shahid, N. Springerplus Research Exact expressions of velocity, temperature and mass concentration have been calculated for free convective flow of fractional MHD viscous fluid over an oscillating plate. Expressions of velocity have been obtained both for sine and cosine oscillations of plate. Corresponding fractional differential equations have been solved by using Laplace transform and inverse Laplace transform. The expression of temperature and mass concentration have been presented in the form of Fox-H function and in the form of general Wright function, respectively and velocity is presented in the form of integral solutions using Generalized function. Some limiting cases of fluid and fractional parameters have been discussed to retrieve some solutions present in literature. The influence of thermal radiation, mass diffusion and fractional parameters on fluid flow has been analyzed through graphical illustrations. Springer International Publishing 2015-10-24 /pmc/articles/PMC4628018/ /pubmed/26543774 http://dx.doi.org/10.1186/s40064-015-1426-4 Text en © Shahid. 2015 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
spellingShingle | Research Shahid, N. A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate |
title | A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate |
title_full | A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate |
title_fullStr | A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate |
title_full_unstemmed | A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate |
title_short | A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate |
title_sort | study of heat and mass transfer in a fractional mhd flow over an infinite oscillating plate |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4628018/ https://www.ncbi.nlm.nih.gov/pubmed/26543774 http://dx.doi.org/10.1186/s40064-015-1426-4 |
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